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Finding the Fourth Proportional to 589.23, 813.15 and 340.54

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Solution

The fourth proportional to 589.23, 813.15 and 340.54 is: 469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.23 : 813.15 = 340.54 : x
  2. Step 2: Convert to fraction form
    589.23/813.15 = 340.54/x
  3. Step 3: Cross multiply
    589.23x = 813.15 × 340.54
  4. Step 4: Simplify right side
    589.23x = 276,908.07
  5. Step 5: Solve for x
    x = 276,908.07/589.23
  6. Step 6: Final answer
    x = 469.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.